## Cuboid

Cuboids are familiar objects you encounter in daily life numerous times. Cuboids are essentially boxes, formed exclusively from rectangles. These familiar shapes are also known as rectangular prisms.

## Definition of Cuboid

The cube is a 3D structure which is formed when 6 identical squares bind to each other in an enclosed form.

Remember

all cubes are cuboids, but not all cuboids are cubes

These 2 geometric figures have numerous similarities but only 1 difference.

## Number of Faces, Edges, & Vertices of Cuboid

Both cubes & cuboids have 6 faces, 12 edges, & 8 vertices or corners. Each edge is shared by 2 faces. At each vertex, 3 faces join together.

## Angles of Cuboid

Cubes & cuboids contain exclusively right angles.

A cuboid is a 3 dimensional shape.

## Formulas for Volume & Surface Area

We need to know 3 measurements to measure the volume.

There are 3 different measurements:

Length, Width, Height

The formulas to find the volume & surface area of cubes & cuboids are the same.

To find the volume:

Simply multiply the height by the width by the length (or depth). So, the volume is found using the formula:

Volume = Length × Width ×  Height

Which is usually shortened to:

V = l × w × h

Or more simply:

V = lwh

To calculate the surface area:

1. Find the product of 2 times the width times the length.
2. Next, multiply 2 times the length times the height.
3. Then, multiply 2 times the height times the width.
4. Last, add all 3 products together.

## In Any Order

It doesn’t matter which one is length, width or height, so long as you multiply all 3 together.

Example:

The volume is:

5cm × 3cm × 4cm = 60cm3

It also works out the same like this:

4cm × 3cm × 5cm = 60cm3

Note:

the result is in cm3 (cubic centimeters) because we have multiplied centimeters together 3 times.

## Shape of Faces

The only 1 difference between cubes & cuboids is the shape of the 6 faces. Each face of a cube is a square with equal size. Each face of a cuboid is a rectangle, with at least four of these rectangles are identical.